Аннотация
We outline the expected constraints on non-Gaussianity from the cosmic
microwave background (CMB) with current and future experiments, focusing on
both the third (f_NL) and fourth-order (g_NL and tau_NL) amplitudes of
the local configuration or non-Gaussianity. The experimental focus is the
skewness (two-to-one) and kurtosis (two-to-two and three-to-one) power spectra
from weighted maps. This provides the first forecasts for future constraints on
g_NL. We describe how these statistics can be corrected for the mask and
cut-sky through a window function, bypassing the need to compute linear terms
that were introduced for the previous-generation non-Gaussianity statistics,
such as the skewness estimator. We discus the ratio A_NL =
tau_NL/(6f_NL/5)^2 as an additional test of single-field inflationary
models and discuss the physical significance of each statistic.
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